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A hodograph is a diagram that gives a vectorial visual representation of the movement of a body or a fluid. It is the locus of one end of a variable vector, with the other end fixed. [1] The position of any plotted data on such a diagram is proportional to the velocity of the moving particle. [2] It is also called a velocity diagram.
Shock polar in the pressure ratio-flow deflection angle plane for a Mach number of 1.8 and a specific heat ratio 1.4. The minimum angle, , which an oblique shock can have is the Mach angle = (/), where is the initial Mach number before the shock and the greatest angle corresponds to a normal shock.
page-info-kbd-shortcut [6] – The "I" keyboard shortcut now opens the "Page information" link in your sidebar. superjump [7] – Custom keyboard shortcuts to go to any page. accessKeysCheatSheet [8] - The "?" keyboard shortcut now overlays a list of all keyboard shortcuts available on the current page.
Most keyboard shortcuts require the user to press a single key or a sequence of keys one after the other. Other keyboard shortcuts require pressing and holding several keys simultaneously (indicated in the tables below by the + sign). Keyboard shortcuts may depend on the keyboard layout.
Adobe Photoshop is a raster graphics editor developed and published by Adobe for Windows and macOS.It was created in 1987 by Thomas and John Knoll.It is the most used tool for professional digital art, especially in raster graphics editing, and its name has become genericised as a verb (e.g. "to photoshop an image", "photoshopping", and "photoshop contest") [7] although Adobe disapproves of ...
Photopea (/ ˈ f oʊ t ə ˈ p iː / FOH-tə-PEE) is a web-based photo and graphics editor developed by Ivan Kutskir.It is used for image editing, making illustrations, web design or converting between different image formats.
In CAD area this is a drawback, because CAD systems use polynomials or rational curves. In order to get at least rational curves, the square root of the representation of the parallel curve has to be solvable. Such curves are called pythagorean hodograph curves and were investigated by R.T. Farouki. [14]
The mathematical basis for Bézier curves—the Bernstein polynomials—was established in 1912, but the polynomials were not applied to graphics until some 50 years later when mathematician Paul de Casteljau in 1959 developed de Casteljau's algorithm, a numerically stable method for evaluating the curves, and became the first to apply them to computer-aided design at French automaker Citroën ...